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Relaxed model for the hysteresis in micromagnetism.
Proc. R. Soc. Edinburgh, Sect. A 139, Part 4, 759-773 (2009)
We study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the nonlinear Landau-Lifshitz equation with an additional term modelling the hysteresis. This term takes the form of a maximal monotone operator acting on the time derivative of the magnetic moment. In our model, it is approximated via a relaxing heat equation. For this relaxed model we prove local existence of regular solutions.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
no keywords
ISSN (print) / ISBN
0308-2105
e-ISSN
1473-7124
Quellenangaben
Volume: 139,
Issue: 4,
Pages: 759-773,
Supplement: Part 4
Publisher
Cambridge Univ. Press
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)